Least Common Multiple (LCM) of 147 and 166
The least common multiple (LCM) of 147 and 166 is 24402.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 147 and 166?
First, calculate the GCD of 147 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 166 = 0 remainder 147 |
| 2 | 166 ÷ 147 = 1 remainder 19 |
| 3 | 147 ÷ 19 = 7 remainder 14 |
| 4 | 19 ÷ 14 = 1 remainder 5 |
| 5 | 14 ÷ 5 = 2 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 76 | 1748 |
| 106 and 95 | 10070 |
| 112 and 31 | 3472 |
| 89 and 43 | 3827 |
| 154 and 113 | 17402 |